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Finding the Fourth Proportional to 496,446.50, 685,067.19 and 278,634.93

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Solution

The fourth proportional to 496,446.50, 685,067.19 and 278,634.93 is: 384,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,446.50 : 685,067.19 = 278,634.93 : x
  2. Step 2: Convert to fraction form
    496,446.50/685,067.19 = 278,634.93/x
  3. Step 3: Cross multiply
    496,446.50x = 685,067.19 × 278,634.93
  4. Step 4: Simplify right side
    496,446.50x = 190,883,648,530.95
  5. Step 5: Solve for x
    x = 190,883,648,530.95/496,446.50
  6. Step 6: Final answer
    x = 384,499.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.